Resonances in axially symmetric dielectric objects

TL;DR

This paper introduces a highly accurate numerical solver for electromagnetic resonances in axially symmetric dielectric objects, capable of handling high-frequency problems with complex eigenvalues.

Contribution

A new high-order convergent Fourier--Nyström based solver for electromagnetic eigenproblems in axially symmetric dielectric objects is developed, suitable for benchmarking and high-frequency applications.

Findings

Achieves high accuracy at high wavenumbers

Robust and convergent for complex eigenwavenumbers

Applicable to microwave, terahertz, and optical wavelengths

Abstract

A high-order convergent and robust numerical solver is constructed and used to find complex eigenwavenumbers and electromagnetic eigenfields of dielectric objects with axial symmetry. The solver is based on Fourier--Nystr\"om discretization of combined integral equations for the transmission problem and can be applied to demanding resonance problems at microwave, terahertz, and optical wavelengths. High achievable accuracy, even at very high wavenumbers, makes the solver ideal for benchmarking and for assessing the performance of general purpose commercial software.